In this paper we develop some relationships between the approximation method Rafael Bombelli used to find the square root of an integer number in his Algebra (1572), Leibniz’s “hidden calculus” in infinitesimal algorithms (Nova Methodus, 1684) and Newton’s procedures of extraction more arithmetico of the root of a binomial: these procedures lead to the series development of a binomial root that Newton used in integral calculus (ca. 1666).
Some relationships between the calculus of Newton, Bombelli’s Algebra and Leibniz
Palladino, Nicla
2010
Abstract
In this paper we develop some relationships between the approximation method Rafael Bombelli used to find the square root of an integer number in his Algebra (1572), Leibniz’s “hidden calculus” in infinitesimal algorithms (Nova Methodus, 1684) and Newton’s procedures of extraction more arithmetico of the root of a binomial: these procedures lead to the series development of a binomial root that Newton used in integral calculus (ca. 1666).File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
